The critical groups for Km≚Pn and Pm≚Pn

نویسندگان

  • Wei-Na Shi
  • Yong-Liang Pan
  • Jian Wang
چکیده

Let G1∨G2 denote the graph obtained from G1+G2 by adding new edges from each vertex of G1 to every vertex of G2. In this paper, the critical groups of the graphs Km ∨ Pn (n ≥ 4) and Pm ∨ Pn (m ≥ 4, n ≥ 5) are determined.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Line completion number of grid graph Pn × Pm

The concept of super line graph was introduced in the year 1995 by Bagga, Beineke and Varma. Given a graph with at least r edges, the super line graph of index r, Lr(G), has as its vertices the sets of r-edges of G, with two adjacent if there is an edge in one set adjacent to an edge in the other set. The line completion number lc(G) of a graph G is the least positive integer r for which Lr(G) ...

متن کامل

Critical Thinking in Personal Narrative and Reflective Journal Writings by In-service EFL Teachers in Iran: Assessment of Reflective Writing

Recently, there is a need for fostering the critical reflective side of L2 teacher education. This study investigated the implications of personal narrative (PN) and reflective journal (RJ) writing for Iranian EFL teachers’ reflective writing. Sixty (36 women and 24 men) in-service secondary school EFL teachers were selected based on the convenience sampling from Iran. L2 teachers equally divid...

متن کامل

Total vertex irregularity strength of corona product of some graphs

A vertex irregular total k-labeling of a graph G with vertex set V and edge set E is an assignment of positive integer labels {1, 2, ..., k} to both vertices and edges so that the weights calculated at vertices are distinct. The total vertex irregularity strength of G, denoted by tvs(G)is the minimum value of the largest label k over all such irregular assignment. In this paper, we study the to...

متن کامل

On Some New Questions on the Distribution of Prime Numbers

have infinitely many solutions. If the well known hypothesis about prime twins is true, that is, if the equation pn+i—pn — 2 has infinitely many solutions, (1) and (2) of course are trivially satisfied. The first inequality of (2) is inserted only for the sake of completeness. I t follows from the well known fact that lim sup (pn+i—pn) = °° (since n\+2, n\+3, • • • , » ! + » are all composite)....

متن کامل

Timing and Rates of Quaternary Normal Faulting in Central Tibet

In Summer 1998, a 400 km long seismic refraction profile (INDEPTH III) was shot in Central Tibet. Apart from recording the signals of 11 shots along the line, the stations also recorded a number of local earthquakes more or less in the extension of the line. Record sections and travel time data from both shots and earthquakes were compiled and interpreted jointly. The following peculiarities ar...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Australasian J. Combinatorics

دوره 50  شماره 

صفحات  -

تاریخ انتشار 2011